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What is the Least Common Multiple of 94339 and 94353?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 94339 and 94353 is 1271595381.

LCM(94339,94353) = 1271595381

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Least Common Multiple of 94339 and 94353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94339 and 94353, than apply into the LCM equation.

GCF(94339,94353) = 7
LCM(94339,94353) = ( 94339 × 94353) / 7
LCM(94339,94353) = 8901167667 / 7
LCM(94339,94353) = 1271595381

Least Common Multiple (LCM) of 94339 and 94353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94339 and 94353. First we will calculate the prime factors of 94339 and 94353.

Prime Factorization of 94339

Prime factors of 94339 are 7, 13477. Prime factorization of 94339 in exponential form is:

94339 = 71 × 134771

Prime Factorization of 94353

Prime factors of 94353 are 3, 7, 4493. Prime factorization of 94353 in exponential form is:

94353 = 31 × 71 × 44931

Now multiplying the highest exponent prime factors to calculate the LCM of 94339 and 94353.

LCM(94339,94353) = 71 × 134771 × 31 × 44931
LCM(94339,94353) = 1271595381